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Simplifying 0.33(6z + 9) = (z + 6) Reorder the terms: 0.33(9 + 6z) = (z + 6) (9 * 0.33 + 6z * 0.33) = (z + 6) (2.97 + 1.98z) = (z + 6) Reorder the terms: 2.97 + 1.98z = (6 + z) Remove parenthesis around (6 + z) 2.97 + 1.98z = 6 + z Solving 2.97 + 1.98z = 6 + z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-1z' to each side of the equation. 2.97 + 1.98z + -1z = 6 + z + -1z Combine like terms: 1.98z + -1z = 0.98z 2.97 + 0.98z = 6 + z + -1z Combine like terms: z + -1z = 0 2.97 + 0.98z = 6 + 0 2.97 + 0.98z = 6 Add '-2.97' to each side of the equation. 2.97 + -2.97 + 0.98z = 6 + -2.97 Combine like terms: 2.97 + -2.97 = 0.00 0.00 + 0.98z = 6 + -2.97 0.98z = 6 + -2.97 Combine like terms: 6 + -2.97 = 3.03 0.98z = 3.03 Divide each side by '0.98'. z = 3.091836735 Simplifying z = 3.091836735
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